2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61176We associate a non-commutative $C^*$-algebra with any locally finite simplicial complex. We determine the $K$-theory of these algebras and show that they can be used to obtain a conceptual explanation for the Baum-Connes conjecture.Operator AlgebrasGeometric Topology46L85, 58B30, 19K99, 19L47text